Subgroups — C₁₁×#61483 #14638676

Order 2816.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3522	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3335	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3332	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3331	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3316	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3306	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3284	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3282	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3173	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3125	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3125	C₂	1	2	yes	maximal, complemented
19	C₁₁×#3113	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2952	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#135	C₂²	1	2	yes	—
25	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
26	C₁₁×#559	—	2	1	no	—
27	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
28	Q₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
29	C₁₁×#556	C₂²	1	1	yes	characteristic
30	C₁₁×#554	—	2	1	no	—
31	C₁₁×#554	C₂²	1	2	yes	—
32	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#552	—	2	1	no	—
34	C₁₁×#551	—	2	2	no	—
35	C₁₁×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
37	C₁₁×#548	—	2	1	no	—
38	C₁₁×#548	C₂²	1	2	yes	—
39	C₁₁×#547	—	2	2	no	—
40	C₁₁×#547	C₂²	1	1	yes	characteristic
41	C₁₁×#547	C₂²	1	1	yes	characteristic
42	C₁₁×#547	C₂²	1	2	yes	—
43	C₁₁×#546	C₂²	1	2	yes	—
44	C₁₁×#542	—	2	2	no	—
45	C₁₁×#542	C₂²	1	2	yes	—
46	C₁₁×#542	C₂²	1	2	yes	complemented
47	C₁₁×#539	—	2	2	no	—
48	C₁₁×#533	C₂²	1	1	yes	characteristic
49	C₁₁×#532	—	2	1	no	—
50	C₁₁×#532	C₂²	1	1	yes	characteristic
51	C₁₁×#529	—	2	1	no	—
52	C₁₁×#529	C₂²	1	1	yes	characteristic
53	C₁₁×#525	—	2	1	no	—
54	C₂×C₁₁×C₂²⋊Q₈	—	2	1	no	—
55	C₁₁×#520	C₂²	1	2	yes	—
56	C₁₁×#520	C₂²	1	2	yes	complemented
57	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
59	C₁₁×#498	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#498	C₂²	1	2	yes	complemented
61	C₁₁×#495	C₂²	1	2	yes	—
62	C₁₁×#492	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#489	C₂²	1	2	yes	—
64	C₁₁×#489	C₂²	1	2	yes	complemented
65	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₁×#483	C₂²	1	2	yes	—
68	C₁₁×#483	C₂²	1	2	yes	complemented
69	C₁₁×#483	C₂²	1	2	yes	complemented
70	C₁₁×#481	C₂²	1	2	yes	—
71	C₁₁×#481	C₂²	1	2	yes	—
72	C₁₁×#481	C₂²	1	2	yes	complemented
73	C₁₁×#476	C₂²	1	2	yes	—
74	C₁₁×#476	C₂²	1	1	yes	characteristic
75	C₁₁×#476	C₂²	1	1	yes	characteristic
76	C₁₁×#476	C₂²	1	2	yes	complemented
77	C₁₁×#475	C₂²	1	2	yes	complemented
78	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
80	C₁₁×#475	C₂²	1	2	yes	complemented
81	C₁₁×#470	C₂²	1	2	yes	complemented
82	C₁₁×#469	C₂²	1	2	yes	—
83	C₁₁×#465	C₂²	1	2	yes	—
84	C₁₁×#465	C₂²	1	2	yes	—
85	C₁₁×#465	C₂²	1	2	yes	—
86	C₁₁×#465	C₂²	1	2	yes	complemented
87	C₁₁×#464	C₂²	1	2	yes	—
88	C₁₁×#464	C₂²	1	2	yes	complemented
89	C₁₁×#463	C₂²	1	2	yes	—
90	C₁₁×#463	C₂²	1	2	yes	—
91	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
93	C₁₁×#459	C₂²	1	1	yes	characteristic
94	C₁₁×#459	C₂²	1	1	yes	characteristic
95	C₁₁×#452	C₂²	1	2	yes	—
96	C₁₁×#452	C₂²	1	2	yes	complemented
97	C₁₁×#451	C₂²	1	2	yes	—
98	C₁₁×#449	C₂²	1	2	yes	—
99	C₁₁×#449	C₂²	1	2	yes	—
100	C₁₁×#447	C₂²	1	2	yes	—
101	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
103	C₁₁×#442	C₂²	1	2	yes	—
104	C₁₁×#442	C₂²	1	2	yes	—
105	C₁₁×#442	C₂²	1	2	yes	—
106	C₁₁×#441	C₂²	1	2	yes	complemented
107	C₁₁×#441	C₂²	1	2	yes	complemented
108	C₁₁×#441	C₂²	1	2	yes	complemented
109	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
118	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
120	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
121	C₁₁×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₁×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₁	C₂²	1	2	yes	—
124	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
125	C₁₁×#433	C₂²	1	2	yes	complemented
126	C₁₁×#432	C₂²	1	1	yes	characteristic
127	C₂×C₁₁×#106	C₂²	1	1	yes	characteristic
128	C₂×C₁₁×#106	C₂²	1	2	yes	complemented
129	C₁₁×#417	C₂²	1	2	yes	—
130	C₁₁×#417	C₂²	1	2	yes	complemented
131	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
132	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic
133	C₁₁×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
135	C₂×C₁₁×#41	—	2	1	no	—
136	C₂×C₁₁×#41	—	2	2	no	—
137	C₂×C₁₁×#41	—	2	1	no	—
138	C₂×C₁₁×#41	C₂³	1	2	yes	—
139	C₂×C₁₁×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₁	—	2	1	no	—
141	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₁	—	2	1	no	—
144	C₁₁×#135	—	2	8	no	—
145	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₁×SD₁₆	—	2	4	no	—
148	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×D₈	C₂³	1	2	yes	—
155	C₂×C₁₁×D₈	C₂³	1	2	yes	—
156	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
158	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
160	C₁₁×C₄⋊Q₈	—	2	1	no	—
161	C₁₁×C₄⋊Q₈	—	2	2	no	—
162	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₁×#127	—	2	1	no	—
168	C₁₁×#127	C₂³	1	1	yes	characteristic
169	C₁₁×#126	—	2	2	no	—
170	C₁₁×#126	—	2	2	no	—
171	C₁₁×#126	—	2	2	no	—
172	C₁₁×#126	D₄	1	2	yes	—
173	C₁₁×#125	—	2	1	no	—
174	C₁₁×#125	—	2	2	no	—
175	C₁₁×#125	—	2	1	no	—
176	C₁₁×#125	D₄	1	1	yes	characteristic
177	C₁₁×#124	—	2	1	no	—
178	C₁₁×#124	—	2	2	no	—
179	C₁₁×#124	—	2	2	no	—
180	C₁₁×#124	—	2	2	no	—
181	C₁₁×#124	—	2	1	no	—
182	C₁₁×#124	D₄	1	1	yes	characteristic
183	C₁₁×#124	C₂³	1	2	yes	—
184	C₁₁×#124	C₂³	1	2	yes	—
185	C₁₁×#123	—	2	2	no	—
186	C₁₁×#123	—	2	2	no	—
187	C₁₁×#123	—	2	2	no	—
188	C₁₁×#123	—	2	2	no	—
189	C₁₁×#123	—	2	2	no	—
190	C₁₁×#123	—	2	2	no	—
191	C₁₁×#123	—	2	2	no	—
192	C₁₁×#123	—	2	2	no	—
193	C₁₁×#123	D₄	1	2	yes	—
194	C₁₁×C₂²⋊Q₈	—	2	1	no	—
195	C₁₁×C₂²⋊Q₈	—	2	1	no	—
196	C₁₁×C₂²⋊Q₈	—	2	2	no	—
197	C₁₁×C₂²⋊Q₈	—	2	1	no	—
198	C₁₁×C₂²⋊Q₈	—	2	1	no	—
199	C₁₁×C₂²⋊Q₈	—	2	2	no	—
200	C₁₁×C₂²⋊Q₈	—	2	2	no	—
201	C₁₁×C₂²⋊Q₈	—	2	2	no	—
202	C₁₁×C₂²⋊Q₈	—	2	2	no	—
203	C₁₁×C₂²⋊Q₈	—	2	2	no	—
204	C₁₁×C₂²⋊Q₈	—	2	2	no	—
205	C₁₁×C₂²⋊Q₈	—	2	2	no	—
206	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
207	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₁×#121	—	2	1	no	—
211	C₁₁×#121	—	2	2	no	—
212	C₁₁×#121	—	2	1	no	—
213	C₁₁×#121	—	2	2	no	—
214	C₁₁×#121	—	2	2	no	—
215	C₁₁×#121	D₄	1	1	yes	characteristic
216	C₁₁×#121	C₂³	1	2	yes	—
217	C₁₁×#121	C₂³	1	2	yes	—
218	C₁₁×#121	C₂³	1	2	yes	—
219	C₁₁×#120	—	2	2	no	—
220	C₄×Q₈×C₁₁	—	2	1	no	—
221	C₄×Q₈×C₁₁	—	2	1	no	—
222	C₄×Q₈×C₁₁	—	2	1	no	—
223	C₄×Q₈×C₁₁	—	2	1	no	—
224	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₁	—	2	2	no	—
233	C₄×D₄×C₁₁	—	2	1	no	—
234	C₄×D₄×C₁₁	—	2	1	no	—
235	C₄×D₄×C₁₁	—	2	1	no	—
236	C₄×D₄×C₁₁	—	2	2	no	—
237	C₄×D₄×C₁₁	—	2	2	no	—
238	C₄×D₄×C₁₁	—	2	2	no	—
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	2	no	—
241	C₄×D₄×C₁₁	—	2	1	no	—
242	C₄×D₄×C₁₁	—	2	1	no	—
243	C₄×D₄×C₁₁	—	2	1	no	—
244	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₁	C₂³	1	2	yes	—
249	C₄×D₄×C₁₁	C₂³	1	2	yes	—
250	C₄×D₄×C₁₁	C₂³	1	2	yes	—
251	C₄×D₄×C₁₁	C₂³	1	2	yes	—
252	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
253	C₁₁×#117	—	2	1	no	—
254	C₁₁×#117	—	2	2	no	—
255	C₁₁×#117	—	2	2	no	—
256	C₁₁×#117	—	2	1	no	—
257	C₁₁×#117	C₂³	1	2	yes	—
258	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
260	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₄²×C₁₁	—	2	1	no	—
269	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
270	C₁₁×#106	C₂³	1	1	yes	characteristic
271	C₁₁×#106	C₂³	1	2	yes	—
272	C₁₁×#106	C₂³	1	2	yes	—
273	C₁₁×#106	C₂³	1	2	yes	—
274	C₁₁×#106	C₂³	1	2	yes	—
275	C₁₁×#106	C₂³	1	1	yes	characteristic
276	C₁₁×#106	C₂³	1	1	yes	characteristic
277	C₁₁×#106	C₂³	1	1	yes	characteristic
278	C₁₁×#106	C₂³	1	2	yes	—
279	C₁₁×#106	C₂³	1	2	yes	—
280	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₁×#103	C₂³	1	2	yes	—
285	C₁₁×#103	C₂³	1	2	yes	—
286	C₁₁×#103	C₂³	1	1	yes	characteristic
287	C₁₁×#103	C₂³	1	2	yes	—
288	C₁₁×#103	C₂³	1	1	yes	characteristic
289	C₁₁×#103	C₂³	1	1	yes	characteristic
290	C₁₁×#103	C₂³	1	1	yes	characteristic
291	C₁₁×#103	C₂³	1	2	yes	—
292	C₁₁×#103	C₂³	1	2	yes	—
293	C₁₁×#103	C₂³	1	2	yes	—
294	C₁₁×#102	C₂³	1	1	yes	characteristic
295	C₁₁×#102	C₂³	1	2	yes	—
296	C₁₁×#102	C₂³	1	2	yes	—
297	C₁₁×#102	C₂³	1	2	yes	—
298	C₁₁×#102	C₂³	1	1	yes	characteristic
299	C₁₁×#102	C₂³	1	1	yes	characteristic
300	C₁₁×#102	C₂³	1	1	yes	characteristic
301	C₁₁×#102	C₂³	1	2	yes	—
302	C₁₁×#102	C₂³	1	2	yes	—
303	C₁₁×#102	C₂³	1	2	yes	—
304	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₁×#97	C₂³	1	2	yes	—
308	C₁₁×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₁	C₂³	1	2	yes	—
311	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
314	#61483	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₁	—	2	1	no	—
316	C₁₁×#41	—	2	4	no	—
317	C₁₁×#41	—	2	4	no	—
318	C₁₁×#41	—	4	2	no	—
319	C₁₁×#41	—	4	2	no	—
320	C₁₁×#41	—	8	2	no	—
321	C₁₁×#41	—	8	4	no	—
322	C₁₁×#41	—	8	2	no	—
323	C₂×Q₈×C₁₁	—	2	1	no	—
324	C₂×Q₈×C₁₁	—	2	1	no	—
325	C₂×Q₈×C₁₁	—	2	2	no	—
326	C₂×Q₈×C₁₁	—	2	2	no	—
327	C₂×Q₈×C₁₁	—	2	1	no	—
328	C₂×Q₈×C₁₁	—	2	2	no	—
329	C₂×Q₈×C₁₁	—	4	1	no	—
330	C₂×Q₈×C₁₁	—	8	2	no	—
331	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₁	—	2	2	no	—
336	C₂×D₄×C₁₁	—	2	2	no	—
337	C₂×D₄×C₁₁	—	2	2	no	—
338	C₂×D₄×C₁₁	—	2	2	no	—
339	C₂×D₄×C₁₁	—	2	2	no	—
340	C₂×D₄×C₁₁	—	2	2	no	—
341	C₂×D₄×C₁₁	—	2	1	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	2	1	no	—
344	C₂×D₄×C₁₁	—	4	1	no	—
345	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
347	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
349	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₁	—	2	1	no	—
351	C₂²×C₄×C₁₁	—	2	1	no	—
352	C₂²×C₄×C₁₁	—	2	1	no	—
353	C₂²×C₄×C₁₁	—	2	2	no	—
354	C₂²×C₄×C₁₁	—	2	2	no	—
355	C₂²×C₄×C₁₁	—	2	2	no	—
356	C₂²×C₄×C₁₁	—	2	2	no	—
357	C₂²×C₄×C₁₁	—	2	1	no	—
358	C₂²×C₄×C₁₁	—	2	1	no	—
359	C₂²×C₄×C₁₁	—	2	2	no	—
360	C₂²×C₄×C₁₁	—	2	1	no	—
361	C₂²×C₄×C₁₁	—	2	2	no	—
362	C₂²×C₄×C₁₁	—	2	2	no	—
363	C₂²×C₄×C₁₁	—	2	1	no	—
364	C₂²×C₄×C₁₁	—	8	2	no	—
365	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
369	C₁₁×Q₁₆	—	2	4	no	—
370	C₁₁×Q₁₆	—	4	2	no	—
371	C₁₁×SD₁₆	—	2	2	no	—
372	C₁₁×SD₁₆	—	2	4	no	—
373	C₁₁×SD₁₆	—	2	2	no	—
374	C₁₁×SD₁₆	—	2	2	no	—
375	C₁₁×SD₁₆	—	4	2	no	—
376	C₁₁×SD₁₆	#41	1	4	yes	complemented
377	C₁₁×D₈	—	2	4	no	—
378	C₁₁×D₈	—	4	2	no	—
379	C₁₁×M₁₆	—	4	2	no	—
380	C₂×C₈×C₁₁	—	2	2	no	—
381	C₂×C₈×C₁₁	—	2	4	no	—
382	C₂×C₈×C₁₁	—	4	1	no	—
383	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
389	C₁₁×C₄⋊C₄	—	2	1	no	—
390	C₁₁×C₄⋊C₄	—	2	2	no	—
391	C₁₁×C₄⋊C₄	—	2	2	no	—
392	C₁₁×C₄⋊C₄	—	2	1	no	—
393	C₁₁×C₄⋊C₄	—	2	2	no	—
394	C₁₁×C₄⋊C₄	—	2	2	no	—
395	C₁₁×C₄⋊C₄	—	2	2	no	—
396	C₁₁×C₄⋊C₄	—	2	1	no	—
397	C₁₁×C₄⋊C₄	—	2	1	no	—
398	C₁₁×C₄⋊C₄	—	2	1	no	—
399	C₁₁×C₄⋊C₄	—	2	2	no	—
400	C₁₁×C₄⋊C₄	—	2	1	no	—
401	C₁₁×C₄⋊C₄	—	2	1	no	—
402	C₁₁×C₄⋊C₄	—	2	1	no	—
403	C₁₁×C₄⋊C₄	—	2	1	no	—
404	C₁₁×C₄⋊C₄	—	2	1	no	—
405	C₁₁×C₄⋊C₄	—	2	2	no	—
406	C₁₁×C₄⋊C₄	—	2	2	no	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₁×C₂²⋊C₄	—	2	2	no	—
422	C₁₁×C₂²⋊C₄	—	2	2	no	—
423	C₁₁×C₂²⋊C₄	—	2	2	no	—
424	C₁₁×C₂²⋊C₄	—	2	1	no	—
425	C₁₁×C₂²⋊C₄	—	2	1	no	—
426	C₁₁×C₂²⋊C₄	—	2	1	no	—
427	C₁₁×C₂²⋊C₄	—	2	1	no	—
428	C₁₁×C₂²⋊C₄	—	2	2	no	—
429	C₁₁×C₂²⋊C₄	—	2	2	no	—
430	C₁₁×C₂²⋊C₄	—	2	2	no	—
431	C₁₁×C₂²⋊C₄	—	2	2	no	—
432	C₁₁×C₂²⋊C₄	—	2	2	no	—
433	C₁₁×C₂²⋊C₄	—	2	2	no	—
434	C₁₁×C₂²⋊C₄	—	2	2	no	—
435	C₁₁×C₂²⋊C₄	—	2	2	no	—
436	C₁₁×C₂²⋊C₄	—	2	2	no	—
437	C₁₁×C₂²⋊C₄	—	2	2	no	—
438	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₄²×C₁₁	—	2	1	no	—
444	C₄²×C₁₁	—	2	1	no	—
445	C₄²×C₁₁	—	2	1	no	—
446	C₄²×C₁₁	—	2	1	no	—
447	C₄²×C₁₁	—	2	2	no	—
448	C₄²×C₁₁	—	2	2	no	—
449	C₄²×C₁₁	—	2	2	no	—
450	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
451	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₁	C₂⁴	1	2	yes	—
455	#3522	C₂×C₁₁	1	1	yes	characteristic, complemented
456	#3520	C₂×C₁₁	1	1	yes	characteristic, complemented
457	#3394	C₂×C₁₁	1	1	yes	characteristic, complemented
458	Q₈×SD₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
459	#3373	C₂×C₁₁	1	1	yes	characteristic, complemented
460	#3369	C₂×C₁₁	1	1	yes	characteristic, complemented
461	#3335	C₂×C₁₁	1	2	yes	complemented
462	#3335	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3332	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3331	C₂×C₁₁	1	1	yes	characteristic, complemented
465	#3316	C₂×C₁₁	1	2	yes	complemented
466	#3306	C₂×C₁₁	1	2	yes	complemented
467	#3284	C₂×C₁₁	1	1	yes	characteristic, complemented
468	#3282	C₂×C₁₁	1	2	yes	complemented
469	#3173	C₂×C₁₁	1	2	yes	complemented
470	#3167	C₂×C₁₁	1	1	yes	characteristic, complemented
471	#3125	C₂×C₁₁	1	2	yes	complemented
472	#3125	C₂×C₁₁	1	2	yes	complemented
473	#3113	C₂×C₁₁	1	1	yes	characteristic, complemented
474	#3109	C₂×C₁₁	1	1	yes	characteristic, complemented
475	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
476	#2952	C₂×C₁₁	1	2	yes	complemented
477	C₂×C₄×SD₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
478	C₂³×C₁₁	—	2	1	no	—
479	C₂³×C₁₁	—	2	1	no	—
480	C₂³×C₁₁	—	2	2	no	—
481	C₂³×C₁₁	—	4	2	no	—
482	C₂³×C₁₁	—	4	2	no	—
483	C₂³×C₁₁	—	8	1	no	—
484	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
485	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
486	Q₈×C₁₁	—	2	2	no	—
487	Q₈×C₁₁	—	2	1	no	—
488	Q₈×C₁₁	—	2	1	no	—
489	Q₈×C₁₁	—	2	2	no	—
490	Q₈×C₁₁	—	2	2	no	—
491	Q₈×C₁₁	—	2	1	no	—
492	Q₈×C₁₁	—	4	2	no	—
493	Q₈×C₁₁	—	4	2	no	—
494	Q₈×C₁₁	—	8	2	no	—
495	Q₈×C₁₁	—	8	1	no	—
496	Q₈×C₁₁	—	8	2	no	—
497	Q₈×C₁₁	C₂×#41	1	2	yes	—
498	D₄×C₁₁	—	2	4	no	—
499	D₄×C₁₁	—	2	2	no	—
500	D₄×C₁₁	—	2	2	no	—
501	D₄×C₁₁	—	2	1	no	—
502	D₄×C₁₁	—	2	1	no	—
503	D₄×C₁₁	—	2	1	no	—
504	D₄×C₁₁	—	2	2	no	—
505	D₄×C₁₁	—	4	2	no	—
506	D₄×C₁₁	—	4	4	no	—
507	D₄×C₁₁	—	4	4	no	—
508	D₄×C₁₁	—	4	4	no	—
509	D₄×C₁₁	—	4	2	no	—
510	D₄×C₁₁	—	8	1	no	—
511	D₄×C₁₁	—	8	2	no	—
512	D₄×C₁₁	—	8	2	no	—
513	D₄×C₁₁	C₂×#41	1	2	yes	—
514	C₂×C₄×C₁₁	—	2	2	no	—
515	C₂×C₄×C₁₁	—	2	1	no	—
516	C₂×C₄×C₁₁	—	2	2	no	—
517	C₂×C₄×C₁₁	—	2	1	no	—
518	C₂×C₄×C₁₁	—	2	2	no	—
519	C₂×C₄×C₁₁	—	2	1	no	—
520	C₂×C₄×C₁₁	—	2	2	no	—
521	C₂×C₄×C₁₁	—	2	1	no	—
522	C₂×C₄×C₁₁	—	2	2	no	—
523	C₂×C₄×C₁₁	—	2	1	no	—
524	C₂×C₄×C₁₁	—	2	1	no	—
525	C₂×C₄×C₁₁	—	2	1	no	—
526	C₂×C₄×C₁₁	—	2	2	no	—
527	C₂×C₄×C₁₁	—	2	2	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	4	4	no	—
530	C₂×C₄×C₁₁	—	4	2	no	—
531	C₂×C₄×C₁₁	—	4	4	no	—
532	C₂×C₄×C₁₁	—	4	2	no	—
533	C₂×C₄×C₁₁	—	4	2	no	—
534	C₂×C₄×C₁₁	—	4	2	no	—
535	C₂×C₄×C₁₁	—	8	1	no	—
536	C₂×C₄×C₁₁	—	8	1	no	—
537	C₂×C₄×C₁₁	—	8	2	no	—
538	C₂×C₄×C₁₁	—	8	2	no	—
539	C₂×C₄×C₁₁	—	8	2	no	—
540	C₂×C₄×C₁₁	—	8	1	no	—
541	C₂×C₄×C₁₁	—	8	2	no	—
542	C₂×C₄×C₁₁	—	8	2	no	—
543	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
552	C₈×C₁₁	—	2	2	no	—
553	C₈×C₁₁	—	2	1	no	—
554	C₈×C₁₁	—	2	1	no	—
555	C₈×C₁₁	—	2	1	no	—
556	C₈×C₁₁	—	2	2	no	—
557	C₈×C₁₁	C₂×#41	1	2	yes	—
558	C₂×#135	C₂²×C₁₁	1	2	yes	—
559	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
560	#559	—	2	1	no	—
561	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
562	Q₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
563	#556	C₂²×C₁₁	1	1	yes	characteristic
564	#554	—	2	1	no	—
565	#554	C₂²×C₁₁	1	2	yes	—
566	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
567	#552	—	2	1	no	—
568	#551	—	2	2	no	—
569	#550	C₂²×C₁₁	1	1	yes	characteristic, complemented
570	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
571	#548	—	2	1	no	—
572	#548	C₂²×C₁₁	1	2	yes	—
573	#547	—	2	2	no	—
574	#547	C₂²×C₁₁	1	1	yes	characteristic
575	#547	C₂²×C₁₁	1	1	yes	characteristic
576	#547	C₂²×C₁₁	1	2	yes	—
577	#546	C₂²×C₁₁	1	2	yes	—
578	#542	—	2	2	no	—
579	#542	C₂²×C₁₁	1	2	yes	—
580	#542	C₂²×C₁₁	1	2	yes	complemented
581	#539	—	2	2	no	—
582	#533	C₂²×C₁₁	1	1	yes	characteristic
583	#532	—	2	1	no	—
584	#532	C₂²×C₁₁	1	1	yes	characteristic
585	#529	—	2	1	no	—
586	#529	C₂²×C₁₁	1	1	yes	characteristic
587	#525	—	2	1	no	—
588	C₂×C₂²⋊Q₈	—	2	1	no	—
589	#520	C₂²×C₁₁	1	2	yes	—
590	#520	C₂²×C₁₁	1	2	yes	complemented
591	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
593	#498	C₂²×C₁₁	1	1	yes	characteristic, complemented
594	#498	C₂²×C₁₁	1	2	yes	complemented
595	#495	C₂²×C₁₁	1	2	yes	—
596	#492	C₂²×C₁₁	1	1	yes	characteristic, complemented
597	#489	C₂²×C₁₁	1	2	yes	—
598	#489	C₂²×C₁₁	1	2	yes	complemented
599	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
600	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
601	#483	C₂²×C₁₁	1	2	yes	—
602	#483	C₂²×C₁₁	1	2	yes	complemented
603	#483	C₂²×C₁₁	1	2	yes	complemented
604	#481	C₂²×C₁₁	1	2	yes	—
605	#481	C₂²×C₁₁	1	2	yes	—
606	#481	C₂²×C₁₁	1	2	yes	complemented
607	#476	C₂²×C₁₁	1	1	yes	characteristic
608	#476	C₂²×C₁₁	1	1	yes	characteristic
609	#476	C₂²×C₁₁	1	2	yes	—
610	#476	C₂²×C₁₁	1	2	yes	complemented
611	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
612	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
613	#475	C₂²×C₁₁	1	2	yes	complemented
614	#475	C₂²×C₁₁	1	2	yes	complemented
615	#470	C₂²×C₁₁	1	2	yes	complemented
616	#469	C₂²×C₁₁	1	2	yes	—
617	#465	C₂²×C₁₁	1	2	yes	—
618	#465	C₂²×C₁₁	1	2	yes	—
619	#465	C₂²×C₁₁	1	2	yes	—
620	#465	C₂²×C₁₁	1	2	yes	complemented
621	#464	C₂²×C₁₁	1	2	yes	—
622	#464	C₂²×C₁₁	1	2	yes	complemented
623	#463	C₂²×C₁₁	1	2	yes	—
624	#463	C₂²×C₁₁	1	2	yes	—
625	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
626	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
627	#459	C₂²×C₁₁	1	1	yes	characteristic
628	#459	C₂²×C₁₁	1	1	yes	characteristic
629	#452	C₂²×C₁₁	1	2	yes	—
630	#452	C₂²×C₁₁	1	2	yes	complemented
631	#451	C₂²×C₁₁	1	2	yes	—
632	#449	C₂²×C₁₁	1	2	yes	—
633	#449	C₂²×C₁₁	1	2	yes	—
634	#447	C₂²×C₁₁	1	2	yes	—
635	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
636	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
637	#442	C₂²×C₁₁	1	2	yes	—
638	#442	C₂²×C₁₁	1	2	yes	—
639	#442	C₂²×C₁₁	1	2	yes	—
640	#441	C₂²×C₁₁	1	2	yes	complemented
641	#441	C₂²×C₁₁	1	2	yes	complemented
642	#441	C₂²×C₁₁	1	2	yes	complemented
643	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
644	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
645	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
646	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
647	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
648	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
649	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
650	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
651	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
652	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
654	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
655	#436	C₂²×C₁₁	1	1	yes	characteristic, complemented
656	#435	C₂²×C₁₁	1	2	yes	—
657	C₈×D₄	C₂²×C₁₁	1	2	yes	—
658	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
659	#433	C₂²×C₁₁	1	2	yes	complemented
660	#432	C₂²×C₁₁	1	1	yes	characteristic
661	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic
662	C₂×#106	C₂²×C₁₁	1	2	yes	complemented
663	#417	C₂²×C₁₁	1	2	yes	—
664	#417	C₂²×C₁₁	1	2	yes	complemented
665	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic
666	C₂×#102	C₂²×C₁₁	1	1	yes	characteristic
667	#405	C₂²×C₁₁	1	2	yes	complemented
668	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
669	C₂²×C₁₁	—	2	1	no	—
670	C₂²×C₁₁	—	2	1	no	—
671	C₂²×C₁₁	—	2	2	no	—
672	C₂²×C₁₁	—	2	2	no	—
673	C₂²×C₁₁	—	2	2	no	—
674	C₂²×C₁₁	—	2	2	no	—
675	C₂²×C₁₁	—	4	1	no	—
676	C₂²×C₁₁	—	4	1	no	—
677	C₂²×C₁₁	—	4	2	no	—
678	C₂²×C₁₁	—	4	1	no	—
679	C₂²×C₁₁	—	4	1	no	—
680	C₂²×C₁₁	—	4	2	no	—
681	C₂²×C₁₁	—	4	2	no	—
682	C₂²×C₁₁	—	4	1	no	—
683	C₂²×C₁₁	—	8	4	no	—
684	C₂²×C₁₁	#577	1	2	yes	—
685	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
686	C₄×C₁₁	—	2	2	no	—
687	C₄×C₁₁	—	2	1	no	—
688	C₄×C₁₁	—	2	2	no	—
689	C₄×C₁₁	—	2	1	no	—
690	C₄×C₁₁	—	2	1	no	—
691	C₄×C₁₁	—	2	1	no	—
692	C₄×C₁₁	—	2	2	no	—
693	C₄×C₁₁	—	2	2	no	—
694	C₄×C₁₁	—	4	2	no	—
695	C₄×C₁₁	—	4	1	no	—
696	C₄×C₁₁	—	4	1	no	—
697	C₄×C₁₁	—	4	1	no	—
698	C₄×C₁₁	—	4	1	no	—
699	C₄×C₁₁	—	4	1	no	—
700	C₄×C₁₁	—	4	2	no	—
701	C₄×C₁₁	—	4	2	no	—
702	C₄×C₁₁	#577	1	2	yes	—
703	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
704	C₄×C₁₁	#585	1	1	yes	characteristic
705	C₂×#41	—	2	1	no	—
706	C₂×#41	—	2	2	no	—
707	C₂×#41	—	2	1	no	—
708	C₂×#41	C₂³×C₁₁	1	2	yes	—
709	C₂×#41	C₂³×C₁₁	1	2	yes	—
710	C₂²×Q₈	—	2	1	no	—
711	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
712	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
713	C₂³×C₄	—	2	1	no	—
714	#135	—	2	8	no	—
715	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
717	C₂×SD₁₆	—	2	4	no	—
718	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
719	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
724	C₂×D₈	C₂³×C₁₁	1	2	yes	—
725	C₂×D₈	C₂³×C₁₁	1	2	yes	—
726	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
727	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
728	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
729	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	—	2	2	no	—
732	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
736	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
737	#127	—	2	1	no	—
738	#127	C₂³×C₁₁	1	1	yes	characteristic
739	#126	—	2	2	no	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	D₄×C₁₁	1	2	yes	—
743	#125	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	—	2	1	no	—
746	#125	D₄×C₁₁	1	1	yes	characteristic
747	#124	—	2	1	no	—
748	#124	—	2	2	no	—
749	#124	—	2	2	no	—
750	#124	—	2	2	no	—
751	#124	—	2	1	no	—
752	#124	D₄×C₁₁	1	1	yes	characteristic
753	#124	C₂³×C₁₁	1	2	yes	—
754	#124	C₂³×C₁₁	1	2	yes	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	D₄×C₁₁	1	2	yes	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	1	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
777	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
778	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
779	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
780	#121	—	2	1	no	—
781	#121	—	2	2	no	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	D₄×C₁₁	1	1	yes	characteristic
786	#121	C₂³×C₁₁	1	2	yes	—
787	#121	C₂³×C₁₁	1	2	yes	—
788	#121	C₂³×C₁₁	1	2	yes	—
789	#120	—	2	2	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
800	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₁	1	2	yes	—
819	C₄×D₄	C₂³×C₁₁	1	2	yes	—
820	C₄×D₄	C₂³×C₁₁	1	2	yes	—
821	C₄×D₄	C₂³×C₁₁	1	2	yes	—
822	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
823	#117	—	2	1	no	—
824	#117	—	2	2	no	—
825	#117	—	2	2	no	—
826	#117	—	2	1	no	—
827	#117	C₂³×C₁₁	1	2	yes	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	2	no	—
830	C₂×C₄⋊C₄	—	2	2	no	—
831	C₂×C₄⋊C₄	—	2	1	no	—
832	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
835	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
836	C₂×C₂²⋊C₄	—	2	1	no	—
837	C₂×C₂²⋊C₄	—	2	2	no	—
838	C₂×C₄²	—	2	1	no	—
839	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
840	#106	C₂³×C₁₁	1	1	yes	characteristic
841	#106	C₂³×C₁₁	1	1	yes	characteristic
842	#106	C₂³×C₁₁	1	1	yes	characteristic
843	#106	C₂³×C₁₁	1	1	yes	characteristic
844	#106	C₂³×C₁₁	1	2	yes	—
845	#106	C₂³×C₁₁	1	2	yes	—
846	#106	C₂³×C₁₁	1	2	yes	—
847	#106	C₂³×C₁₁	1	2	yes	—
848	#106	C₂³×C₁₁	1	2	yes	—
849	#106	C₂³×C₁₁	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
854	#103	C₂³×C₁₁	1	1	yes	characteristic
855	#103	C₂³×C₁₁	1	1	yes	characteristic
856	#103	C₂³×C₁₁	1	1	yes	characteristic
857	#103	C₂³×C₁₁	1	1	yes	characteristic
858	#103	C₂³×C₁₁	1	2	yes	—
859	#103	C₂³×C₁₁	1	2	yes	—
860	#103	C₂³×C₁₁	1	2	yes	—
861	#103	C₂³×C₁₁	1	2	yes	—
862	#103	C₂³×C₁₁	1	2	yes	—
863	#103	C₂³×C₁₁	1	2	yes	—
864	#102	C₂³×C₁₁	1	1	yes	characteristic
865	#102	C₂³×C₁₁	1	1	yes	characteristic
866	#102	C₂³×C₁₁	1	1	yes	characteristic
867	#102	C₂³×C₁₁	1	1	yes	characteristic
868	#102	C₂³×C₁₁	1	2	yes	—
869	#102	C₂³×C₁₁	1	2	yes	—
870	#102	C₂³×C₁₁	1	2	yes	—
871	#102	C₂³×C₁₁	1	2	yes	—
872	#102	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
875	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
877	#97	C₂³×C₁₁	1	2	yes	—
878	#97	C₂³×C₁₁	1	2	yes	—
879	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
880	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
881	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
882	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
883	C₄×C₈	C₂³×C₁₁	1	2	yes	—
884	C₂×C₁₁	—	2	2	no	—
885	C₂×C₁₁	—	4	2	no	—
886	C₂×C₁₁	—	4	2	no	—
887	C₂×C₁₁	—	8	2	no	—
888	C₂×C₁₁	—	8	1	no	—
889	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
890	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
891	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
892	C₂⁴	—	2	1	no	—
893	#41	—	2	4	no	—
894	#41	—	2	4	no	—
895	#41	—	4	2	no	—
896	#41	—	4	2	no	—
897	#41	—	8	2	no	—
898	#41	—	8	4	no	—
899	#41	—	8	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	2	2	no	—
906	C₂×Q₈	—	4	1	no	—
907	C₂×Q₈	—	8	2	no	—
908	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
911	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	4	1	no	—
922	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
923	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
924	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
926	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	8	2	no	—
942	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
943	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
946	Q₁₆	—	2	4	no	—
947	Q₁₆	—	4	2	no	—
948	SD₁₆	—	2	2	no	—
949	SD₁₆	—	2	2	no	—
950	SD₁₆	—	2	2	no	—
951	SD₁₆	—	2	4	no	—
952	SD₁₆	—	4	2	no	—
953	SD₁₆	C₁₁×#41	1	4	yes	complemented
954	D₈	—	2	4	no	—
955	D₈	—	4	2	no	—
956	M₁₆	—	4	2	no	—
957	C₂×C₈	—	2	2	no	—
958	C₂×C₈	—	2	4	no	—
959	C₂×C₈	—	4	1	no	—
960	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
961	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
963	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
964	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
965	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
989	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
990	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
991	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
996	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1018	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1019	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1028	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1029	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1030	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1031	C₄²	C₂⁴×C₁₁	1	2	yes	—
1032	C₁₁	#61483	1	1	yes	characteristic, direct product factor, Sylow
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	4	2	no	—
1037	C₂³	—	4	2	no	—
1038	C₂³	—	8	1	no	—
1039	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1040	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	4	2	no	—
1048	Q₈	—	4	2	no	—
1049	Q₈	—	8	2	no	—
1050	Q₈	—	8	1	no	—
1051	Q₈	—	8	2	no	—
1052	Q₈	C₂×C₁₁×#41	1	2	yes	—
1053	D₄	—	2	4	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	4	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	8	1	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	D₄	C₂×C₁₁×#41	1	2	yes	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	4	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	8	1	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	1	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1101	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1102	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1103	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1104	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1105	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1106	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1107	C₈	—	2	2	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	2	no	—
1112	C₈	C₂×C₁₁×#41	1	2	yes	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	8	4	no	—
1128	C₂²	C₁₁×#577	1	2	yes	—
1129	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1130	C₄	—	2	2	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	2	no	—
1145	C₄	—	4	2	no	—
1146	C₄	C₁₁×#577	1	2	yes	—
1147	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1148	C₄	C₁₁×#585	1	1	yes	characteristic
1149	C₂	—	2	2	no	—
1150	C₂	—	4	2	no	—
1151	C₂	—	4	2	no	—
1152	C₂	—	8	1	no	—
1153	C₂	—	8	2	no	—
1154	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
1155	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
1156	C₂	C₂×C₁₁×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#529 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₁×#3522	C₂	semidirect
2. C₁₁×#3520	C₂	semidirect
3. C₁₁×#3394	C₂	semidirect
4. Q₈×C₁₁×SD₁₆	C₂	semidirect
5. C₁₁×#3373	C₂	semidirect
6. C₁₁×#3369	C₂	semidirect
7. C₁₁×#3335	C₂	semidirect
8. C₁₁×#3335	C₂	semidirect
9. C₁₁×#3332	C₂	semidirect
10. C₁₁×#3331	C₂	semidirect
11. C₁₁×#3316	C₂	semidirect
12. C₁₁×#3306	C₂	semidirect
13. C₁₁×#3284	C₂	semidirect
14. C₁₁×#3282	C₂	semidirect
15. C₁₁×#3173	C₂	semidirect
16. C₁₁×#3167	C₂	semidirect
17. C₁₁×#3125	C₂	semidirect
18. C₁₁×#3125	C₂	semidirect
19. C₁₁×#3113	C₂	semidirect
20. C₁₁×#3109	C₂	semidirect
21. C₁₁×#2966	C₂	semidirect
22. C₁₁×#2952	C₂	semidirect
23. C₂×C₄×C₁₁×SD₁₆	C₂	semidirect
27. C₁₁×#559	C₂²	semidirect
28. Q₈²×C₁₁	C₂²	semidirect
32. C₁₁×#554	C₂²	semidirect
35. C₁₁×#550	C₂²	semidirect
46. C₁₁×#542	C₂²	semidirect
56. C₁₁×#520	C₂²	semidirect
59. C₁₁×#498	C₂²	semidirect
60. C₁₁×#498	C₂²	semidirect
62. C₁₁×#492	C₂²	semidirect
64. C₁₁×#489	C₂²	semidirect
65. C₁₁×#487	C₂²	semidirect
66. C₁₁×#486	C₂²	semidirect
68. C₁₁×#483	C₂²	semidirect
69. C₁₁×#483	C₂²	semidirect
72. C₁₁×#481	C₂²	semidirect
76. C₁₁×#476	C₂²	semidirect
77. C₁₁×#475	C₂²	semidirect
78. C₁₁×#475	C₂²	semidirect
79. C₁₁×#475	C₂²	semidirect
80. C₁₁×#475	C₂²	semidirect
81. C₁₁×#470	C₂²	semidirect
86. C₁₁×#465	C₂²	semidirect
88. C₁₁×#464	C₂²	semidirect
91. C₁₁×#462	C₂²	semidirect
92. C₁₁×#462	C₂²	semidirect
96. C₁₁×#452	C₂²	semidirect
101. C₁₁×#446	C₂²	semidirect
102. C₈×Q₈×C₁₁	C₂²	semidirect
106. C₁₁×#441	C₂²	semidirect
107. C₁₁×#441	C₂²	semidirect
108. C₁₁×#441	C₂²	semidirect
118. C₄×C₁₁×SD₁₆	C₂²	semidirect
119. C₄×C₁₁×SD₁₆	C₂²	semidirect
120. C₄×C₁₁×SD₁₆	C₂²	semidirect
121. C₁₁×#436	C₂²	semidirect
124. C₈×D₄×C₁₁	C₂²	semidirect
125. C₁₁×#433	C₂²	semidirect
128. C₂×C₁₁×#106	C₂²	semidirect
130. C₁₁×#417	C₂²	semidirect
133. C₁₁×#405	C₂²	semidirect
314. #61483	C₁₁	direct (N × H)
376. C₁₁×SD₁₆	#41	semidirect
455. #3522	C₂×C₁₁	semidirect
456. #3520	C₂×C₁₁	semidirect
457. #3394	C₂×C₁₁	semidirect
458. Q₈×SD₁₆	C₂×C₁₁	semidirect
459. #3373	C₂×C₁₁	semidirect
460. #3369	C₂×C₁₁	semidirect
461. #3335	C₂×C₁₁	semidirect
462. #3335	C₂×C₁₁	semidirect
463. #3332	C₂×C₁₁	semidirect
464. #3331	C₂×C₁₁	semidirect
465. #3316	C₂×C₁₁	semidirect
466. #3306	C₂×C₁₁	semidirect
467. #3284	C₂×C₁₁	semidirect
468. #3282	C₂×C₁₁	semidirect
469. #3173	C₂×C₁₁	semidirect
470. #3167	C₂×C₁₁	semidirect
471. #3125	C₂×C₁₁	semidirect
472. #3125	C₂×C₁₁	semidirect
473. #3113	C₂×C₁₁	semidirect
474. #3109	C₂×C₁₁	semidirect
475. #2966	C₂×C₁₁	semidirect
476. #2952	C₂×C₁₁	semidirect
477. C₂×C₄×SD₁₆	C₂×C₁₁	semidirect
561. #559	C₂²×C₁₁	semidirect
562. Q₈²	C₂²×C₁₁	semidirect
566. #554	C₂²×C₁₁	semidirect
569. #550	C₂²×C₁₁	semidirect
580. #542	C₂²×C₁₁	semidirect
590. #520	C₂²×C₁₁	semidirect
593. #498	C₂²×C₁₁	semidirect
594. #498	C₂²×C₁₁	semidirect
596. #492	C₂²×C₁₁	semidirect
598. #489	C₂²×C₁₁	semidirect
599. #487	C₂²×C₁₁	semidirect
600. #486	C₂²×C₁₁	semidirect
602. #483	C₂²×C₁₁	semidirect
603. #483	C₂²×C₁₁	semidirect
606. #481	C₂²×C₁₁	semidirect
610. #476	C₂²×C₁₁	semidirect
611. #475	C₂²×C₁₁	semidirect
612. #475	C₂²×C₁₁	semidirect
613. #475	C₂²×C₁₁	semidirect
614. #475	C₂²×C₁₁	semidirect
615. #470	C₂²×C₁₁	semidirect
620. #465	C₂²×C₁₁	semidirect
622. #464	C₂²×C₁₁	semidirect
625. #462	C₂²×C₁₁	semidirect
626. #462	C₂²×C₁₁	semidirect
630. #452	C₂²×C₁₁	semidirect
635. #446	C₂²×C₁₁	semidirect
636. C₈×Q₈	C₂²×C₁₁	semidirect
640. #441	C₂²×C₁₁	semidirect
641. #441	C₂²×C₁₁	semidirect
642. #441	C₂²×C₁₁	semidirect
652. C₄×SD₁₆	C₂²×C₁₁	semidirect
653. C₄×SD₁₆	C₂²×C₁₁	semidirect
654. C₄×SD₁₆	C₂²×C₁₁	semidirect
655. #436	C₂²×C₁₁	semidirect
658. C₈×D₄	C₂²×C₁₁	semidirect
659. #433	C₂²×C₁₁	semidirect
662. C₂×#106	C₂²×C₁₁	semidirect
664. #417	C₂²×C₁₁	semidirect
667. #405	C₂²×C₁₁	semidirect
953. SD₁₆	C₁₁×#41	semidirect
1032. C₁₁	#61483	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₁×#3522	2
C₁₁×#3520	2
C₁₁×#3394	2
Q₈×C₁₁×SD₁₆	2
C₁₁×#3373	2
C₁₁×#3369	2
C₁₁×#3335	2
C₁₁×#3332	2
C₁₁×#3331	2
C₁₁×#3316	2
C₁₁×#3306	2
C₁₁×#3284	2
C₁₁×#3282	2
C₁₁×#3173	2
C₁₁×#3167	2
C₁₁×#3125	2
C₁₁×#3113	2
C₁₁×#3109	2
C₁₁×#2966	2
C₁₁×#2952	2
C₂×C₄×C₁₁×SD₁₆	2
#61483	11

Subgroups — C11×#61483 #14638676

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61483 #14638676